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Finding the Fourth Proportional to 2,361.48, 3,542.24 and 718.10

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Solution

The fourth proportional to 2,361.48, 3,542.24 and 718.10 is: 1,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.48 : 3,542.24 = 718.10 : x
  2. Step 2: Convert to fraction form
    2,361.48/3,542.24 = 718.10/x
  3. Step 3: Cross multiply
    2,361.48x = 3,542.24 × 718.10
  4. Step 4: Simplify right side
    2,361.48x = 2,543,682.54
  5. Step 5: Solve for x
    x = 2,543,682.54/2,361.48
  6. Step 6: Final answer
    x = 1,077.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.